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What is the Least Common Multiple of 1713 and 1722?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 1713 and 1722 is 983262.

LCM(1713,1722) = 983262

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Least Common Multiple of 1713 and 1722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1713 and 1722, than apply into the LCM equation.

GCF(1713,1722) = 3
LCM(1713,1722) = ( 1713 × 1722) / 3
LCM(1713,1722) = 2949786 / 3
LCM(1713,1722) = 983262

Least Common Multiple (LCM) of 1713 and 1722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1713 and 1722. First we will calculate the prime factors of 1713 and 1722.

Prime Factorization of 1713

Prime factors of 1713 are 3, 571. Prime factorization of 1713 in exponential form is:

1713 = 31 × 5711

Prime Factorization of 1722

Prime factors of 1722 are 2, 3, 7, 41. Prime factorization of 1722 in exponential form is:

1722 = 21 × 31 × 71 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 1713 and 1722.

LCM(1713,1722) = 31 × 5711 × 21 × 71 × 411
LCM(1713,1722) = 983262